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Finding the Third Proportional to 553,623 and 830,435

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Solution

The third proportional to 553,623 and 830,435 is: 1,245,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,623 : 830,435 = 830,435 : x
  2. Step 2: Convert to fraction form
    553,623/830,435 = 830,435/x
  3. Step 3: Cross multiply
    553,623x = 830,435 × 830,435
  4. Step 4: Simplify right side
    553,623x = 689,622,289,225
  5. Step 5: Solve for x
    x = 689,622,289,225/553,623
  6. Step 6: Final answer
    x = 1,245,653.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.